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Simplifying 2w + -40 = -8(w + -5) Reorder the terms: -40 + 2w = -8(w + -5) Reorder the terms: -40 + 2w = -8(-5 + w) -40 + 2w = (-5 * -8 + w * -8) -40 + 2w = (40 + -8w) Solving -40 + 2w = 40 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -40 + 2w + 8w = 40 + -8w + 8w Combine like terms: 2w + 8w = 10w -40 + 10w = 40 + -8w + 8w Combine like terms: -8w + 8w = 0 -40 + 10w = 40 + 0 -40 + 10w = 40 Add '40' to each side of the equation. -40 + 40 + 10w = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 10w = 40 + 40 10w = 40 + 40 Combine like terms: 40 + 40 = 80 10w = 80 Divide each side by '10'. w = 8 Simplifying w = 8
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